Q. 74.2( 45 Votes )

# If two positive integers p and q can be expressed as p = ab2 and q = a3 b; where a, b being prime numbers, them LCM (p, q) is equal toA. abB. a2b2C. a3b2D. a3b3

Let p = ab2 = a × b × b

And q = a3b = a × a × a × b

LCM of p and q = LCM (ab2, a3b) = a × b × b × a × a = a3b2

[Since, LCM is the product of the greatest power of each prime factor involved in the number]

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